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Finding the Fourth Proportional to 23,342.54, 34,994.24 and 10,184.90

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Solution

The fourth proportional to 23,342.54, 34,994.24 and 10,184.90 is: 15,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.54 : 34,994.24 = 10,184.90 : x
  2. Step 2: Convert to fraction form
    23,342.54/34,994.24 = 10,184.90/x
  3. Step 3: Cross multiply
    23,342.54x = 34,994.24 × 10,184.90
  4. Step 4: Simplify right side
    23,342.54x = 356,412,784.05
  5. Step 5: Solve for x
    x = 356,412,784.05/23,342.54
  6. Step 6: Final answer
    x = 15,268.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.